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11889146052 = 22327419711863
BaseRepresentation
bin10110001001010010…
…11111100011000100
31010200120112012022200
423010221133203010
5143322110133202
65243425354500
7600424034250
oct130451374304
933616465280
1011889146052
115051127443
122379798a30
1311761c0884
1480b003260
15498b74e1c
hex2c4a5f8c4

11889146052 has 144 divisors (see below), whose sum is σ = 35549859072. Its totient is φ = 3279605760.

The previous prime is 11889146041. The next prime is 11889146057. The reversal of 11889146052 is 25064198811.

It is a happy number.

11889146052 is a `hidden beast` number, since 1 + 188 + 9 + 1 + 460 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11889145989 and 11889146007.

It is not an unprimeable number, because it can be changed into a prime (11889146057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996273 + ... + 1008135.

Almost surely, 211889146052 is an apocalyptic number.

11889146052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11889146052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17774929536).

11889146052 is an abundant number, since it is smaller than the sum of its proper divisors (23660713020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11889146052 is a wasteful number, since it uses less digits than its factorization.

11889146052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018 (or 12013 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11889146052 in words is "eleven billion, eight hundred eighty-nine million, one hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 97 123 126 164 194 246 252 287 291 369 388 492 574 582 679 738 861 873 1148 1164 1358 1476 1722 1746 2037 2583 2716 3444 3492 3977 4074 5166 6111 7954 8148 10332 11863 11931 12222 15908 23726 23862 24444 27839 35589 35793 47452 47724 55678 71178 71586 83041 83517 106767 111356 142356 143172 166082 167034 213534 249123 250551 332164 334068 427068 486383 498246 501102 747369 972766 996492 1002204 1150711 1459149 1494738 1945532 2301422 2918298 2989476 3404681 3452133 4377447 4602844 5836596 6809362 6904266 8054977 8754894 10214043 10356399 13618724 13808532 16109954 17509788 20428086 20712798 24164931 30642129 32219908 40856172 41425596 47179151 48329862 61284258 72494793 94358302 96659724 122568516 141537453 144989586 188716604 283074906 289979172 330254057 424612359 566149812 660508114 849224718 990762171 1321016228 1698449436 1981524342 2972286513 3963048684 5944573026 11889146052